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Power law models as descriptors of the kinetics of complex systems: Temperature effects
Author(s) -
Crickmore Peter J.
Publication year - 1989
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450670307
Subject(s) - arrhenius equation , activation energy , thermodynamics , exponent , power law , reaction rate constant , kinetics , chemistry , order of reaction , physics , mathematics , classical mechanics , statistics , linguistics , philosophy
The effects of temperature on power law models for the kinetics of parallel first order systems are studied. The variation of the empirical power law parameters with temperature provides information on the relationship between the rate constant and activation energy distributions; in particular. if the power law exponent increases with temperature, there is a positive correlation between the rate constants and the activation energies; if the power law exponent decreases with temperature, there is a negative correlation between the rate constants and the activation energies; Arrhenius plots will always be concave unless the activation energies for all the reactions are equal. Application of the techniques described here to data from the catalytic cracking of gas oil over LaY zeolite reveals a compensation effect among the reacting hydrocarbon species.